205348900 has 27 divisors (see below), whose sum is σ = 445918291. Its totient is φ = 82082240.

The previous prime is 205348883. The next prime is 205348901. The reversal of 205348900 is 9843502.

The square root of 205348900 is 14330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9572836 + 195776064 = 3094^2 + 13992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205348901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142584 + ... + 144016.

Almost surely, 2^205348900 is an apocalyptic number.

205348900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205348900 is the 14330-th square number.

It is an amenable number.

205348900 is an abundant number, since it is smaller than the sum of its proper divisors (240569391).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205348900 is an equidigital number, since it uses as much as digits as its factorization.

205348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 205348900 is about 589.9711754567.

The spelling of 205348900 in words is "two hundred five million, three hundred forty-eight thousand, nine hundred".